1) Draw Carina buys two goods, food F and clothing C, with the utility function U = FC + F. (20 points) 2 ) Is this a valid utility function? Why or why not? b) Derive the equation representing Carina's demand for food (F), and clothing (C). C) Suppose Carina's income is 100 and the price of F is 1 and price of C is 4. What is Carina's optimum consumption bundle. d) Suppose the price of F increases from 1 to 4. Calculate the income and substitution effects using the Slutsky decomposition technique on Carina's consumption of food when the price of food rises from 1 to 4